Limits to Error Correction in Quantum Chaos .

Silvestrov, P. G. and Schomerus, H. and Beenakker, C. W. J. (2001) Limits to Error Correction in Quantum Chaos . Physical review letters, 86. p. 5192.

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Abstract

We study the correction of errors that have accumulated in an entangled state of spins as a result of unknown local variations in the Zeeman energy ( B) and spin-spin interaction energy ( J). A nondegenerate code with error rate κ can recover the original state with high fidelity within a time tR�ħκ1/2/max(B,J)�independent of the number of encoded qubits. Whether the Hamiltonian is chaotic or not does not affect this time scale, but it does affect the complexity of the error-correcting code.

Item Type: Journal Article
Journal or Publication Title: Physical review letters
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/3100
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 689
Deposited By: Dr Henning Schomerus
Deposited On: 31 Oct 2007
Refereed?: Yes
Published?: Published
Last Modified: 19 Aug 2019 00:37
URI: https://eprints.lancs.ac.uk/id/eprint/689

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